313950816006912 has 576 divisors, whose sum is σ = 1091036984970240. Its totient is φ = 87169958313984.

The previous prime is 313950816006907. The next prime is 313950816006991. The reversal of 313950816006912 is 219600618059313.

313950816006912 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 508 + 1 + 60 + 0 + 69 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×313950816006912² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1480395988 + ... + 1480608044.

It is an arithmetic number, because the mean of its divisors is an integer number (1894161432240).

Almost surely, 2^{313950816006912} is an apocalyptic number.

313950816006912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313950816006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545518492485120).

313950816006912 is an abundant number, since it is smaller than the sum of its proper divisors (777086168963328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313950816006912 is a wasteful number, since it uses less digits than its factorization.

313950816006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212953 (or 212933 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 313950816006912 in words is "three hundred thirteen trillion, nine hundred fifty billion, eight hundred sixteen million, six thousand, nine hundred twelve".